Find a loaded pistol;
Aim at your foot;
OR there's another way.
Pick a topic of particular interest to women. Hold a Congressional hearing, but don't invite any women to participate or testify. After all, what do women know about women's health problems?
When pinned in a corner, claim the whole affair is (A) just a misunderstanding; (B) a war on religion or (C) a Socialist plot.
The second alternative seems to be less painful, at least in the short run. Only time will tell the ultimate effect, like at election time.